Question

The sum of the digits of a three digit number 12 the tens digit is two more than the hundreds digit the unit's digit is equal to the sum of the tens and hundreds digit what is the number the three-digit number i?

Answer 1

The three-digit number where the sum of its digits is 12, the tens digit is two more than the hundreds digit, and the unit's digit is equal to the sum of the tens and hundreds digit is 246.

Step-by-step explanation:

The student's question is about finding a three-digit number based on certain conditions regarding the sum of its digits and the relationship between the hundreds, tens, and units digits.

To solve this question, we are given three clues:

1. The sum of the digits of the three-digit number is 12.
2. The tens digit is two more than the hundreds digit.
3. The unit's digit is equal to the sum of the tens and hundreds digit.

Let's denote the hundreds digit as H, the tens digit as T, and the units digit as U. The conditions give us three equations:

• H + T + U = 12
• T = H + 2
• U = H + T

Substituting T and U from the second and third equations into the first, we get:

• H + (H + 2) + (H + H + 2) = 12
• 4H + 4 = 12
• H = 2

Now we can find T and U:

• T = H + 2 = 2 + 2 = 4
• U = H + T = 2 + 4 = 6

Thus, the three-digit number is 246.